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Finding the Fourth Proportional to 2,123.90, 3,183.15 and 1,025.90

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Solution

The fourth proportional to 2,123.90, 3,183.15 and 1,025.90 is: 1,537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.90 : 3,183.15 = 1,025.90 : x
  2. Step 2: Convert to fraction form
    2,123.90/3,183.15 = 1,025.90/x
  3. Step 3: Cross multiply
    2,123.90x = 3,183.15 × 1,025.90
  4. Step 4: Simplify right side
    2,123.90x = 3,265,593.59
  5. Step 5: Solve for x
    x = 3,265,593.59/2,123.90
  6. Step 6: Final answer
    x = 1,537.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.